%E2%88%92(%E2%88%923m2%2B10m%2B4).jpeg "(4m2−m+2)−(−3m2+10m+4)")
Simplifying the Expression (4m²−m+2)−(−3m²+10m+4)
This article will guide you through simplifying the expression (4m²−m+2)−(−3m²+10m+4).
Understanding the Expression
The expression involves subtracting a polynomial from another. To simplify it, we need to remember a few key points:
- Distributing the Negative: When subtracting a polynomial enclosed in parentheses, we distribute the negative sign to each term inside the parentheses.
- Combining Like Terms: After distributing the negative sign, we combine terms with the same variable and exponent.
Simplifying the Expression
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Distribute the negative sign: (4m²−m+2) + (3m² - 10m - 4)
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Combine like terms: (4m² + 3m²) + (-m - 10m) + (2 - 4)
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Simplify: 7m² - 11m - 2
Therefore, the simplified form of (4m²−m+2)−(−3m²+10m+4) is 7m² - 11m - 2.
Conclusion
By applying the principles of distributing the negative sign and combining like terms, we can simplify the expression to a more compact form. This process is crucial for solving equations, manipulating expressions in algebraic problems, and understanding polynomial functions.